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2022•UTUPub (University of Turku)Open access

Unveiling Dynamics and Complexity: 13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017, Proceedings

Ville Salo, Ilkka Törmä

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Abstract

Physical universality of a cellular automaton was defined by Janzing in 2010 as the ability to implement an arbitrary transformation of spatial patterns.In 2014, Schaeffer gave a construction of a two-dimensional physically universal cellular automaton.We construct a one-dimensional version of the automaton and a reversibly universal automaton.

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Physical universality of a cellular automaton was defined by Janzing in 2010 as the ability to implement an arbitrary transformation of spatial patterns.In 2014, Schaeffer gave a construction of a two-dimensional physically universal cellular automaton.We construct a one-dimensional version of the automaton and a reversibly universal automaton.

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Available abstract

Physical universality of a cellular automaton was defined by Janzing in 2010 as the ability to implement an arbitrary transformation of spatial patterns.In 2014, Schaeffer gave a construction of a two-dimensional physically universal cellular automaton.We construct a one-dimensional version of the automaton and a reversibly universal automaton.

Key concepts: Cellular automaton, Block cellular automaton, Computer science, Automaton, Theoretical computer science, Mobile automaton, Algorithm, Automata theory

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Unveiling Dynamics and Complexity: 13th Conference on Computability in Europe, CiE 2017, Turku, Finland, June 12-16, 2017, Proceedings — Research Paper | ScholarLens